{"id":"https://openalex.org/W1982923589","doi":"https://doi.org/10.1155/2012/231416","title":"A Basic Inequality for the Tanaka\u2010Webster Connection","display_name":"A Basic Inequality for the Tanaka\u2010Webster Connection","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1982923589","doi":"https://doi.org/10.1155/2012/231416","mag":"1982923589"},"language":"en","primary_location":{"id":"doi:10.1155/2012/231416","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/231416","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/231416.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/231416.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015790467","display_name":"Dae Ho Jin","orcid":"https://orcid.org/0000-0002-7382-9333"},"institutions":[{"id":"https://openalex.org/I205490536","display_name":"Dongguk University","ror":"https://ror.org/057q6n778","country_code":"KR","type":"education","lineage":["https://openalex.org/I205490536"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Dae Ho Jin","raw_affiliation_strings":["Department of Mathematics , Dongguk University , Gyeongju, 780-714, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Dongguk University , Gyeongju, 780-714, Republic of Korea","institution_ids":["https://openalex.org/I205490536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100330914","display_name":"Jae Won Lee","orcid":"https://orcid.org/0000-0001-8562-0767"},"institutions":[{"id":"https://openalex.org/I148751991","display_name":"Sogang University","ror":"https://ror.org/056tn4839","country_code":"KR","type":"education","lineage":["https://openalex.org/I148751991"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jae Won Lee","raw_affiliation_strings":["Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea","Department of Mathematics, Sogang University, Seoul, 121-742 Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea","institution_ids":["https://openalex.org/I148751991"]},{"raw_affiliation_string":"Department of Mathematics, Sogang University, Seoul, 121-742 Republic of Korea","institution_ids":["https://openalex.org/I148751991"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015790467"],"corresponding_institution_ids":["https://openalex.org/I205490536"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4143,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57479484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8468610048294067},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.7871111035346985},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7405763864517212},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6644246578216553},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6258885860443115},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5749486088752747},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.5516180992126465},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.506609320640564},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4989144802093506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48884767293930054},{"id":"https://openalex.org/keywords/space-form","display_name":"Space form","score":0.4250252842903137},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41160690784454346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23374152183532715},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1588347852230072}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468610048294067},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.7871111035346985},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7405763864517212},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6644246578216553},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6258885860443115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5749486088752747},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.5516180992126465},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.506609320640564},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4989144802093506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48884767293930054},{"id":"https://openalex.org/C2776341046","wikidata":"https://www.wikidata.org/wiki/Q4381552","display_name":"Space form","level":3,"score":0.4250252842903137},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41160690784454346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23374152183532715},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1588347852230072}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/231416","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/231416","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/231416.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495011","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:231416","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/231416.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:9c942788c31b49f4ae22c9f47fe8e955","is_oa":true,"landing_page_url":"https://doaj.org/article/9c942788c31b49f4ae22c9f47fe8e955","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2012/231416","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/231416","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2012/231416","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/231416","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/231416.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1982923589.pdf","grobid_xml":"https://content.openalex.org/works/W1982923589.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1515483994","https://openalex.org/W1601918485","https://openalex.org/W1708848271","https://openalex.org/W1993329303","https://openalex.org/W2031917130","https://openalex.org/W2051983384","https://openalex.org/W2062383478","https://openalex.org/W2335693194","https://openalex.org/W4230839756"],"related_works":["https://openalex.org/W2363944084","https://openalex.org/W2964267756","https://openalex.org/W4297825487","https://openalex.org/W2369576177","https://openalex.org/W2508030851","https://openalex.org/W1597471746","https://openalex.org/W2167344720","https://openalex.org/W3104630249","https://openalex.org/W2020468792","https://openalex.org/W2183615287"],"abstract_inverted_index":{"For":[0],"submanifolds":[1,71],"tangent":[2,77],"to":[3,51,78],"the":[4,19,24,37,46,52,57,61,79,86],"structure":[5,80],"vector":[6,81],"field":[7,82],"in":[8,83],"Sasakian":[9,74],"space":[10,75],"forms,":[11],"we":[12,65],"establish":[13],"a":[14,67,73],"Chen\u2032s":[15],"basic":[16,68],"inequality":[17,69],"between":[18],"main":[20,38],"intrinsic":[21],"invariants":[22],"of":[23,72,85],"submanifold":[25],"(namely,":[26,41],"its":[27],"pseudosectional":[28,31],"curvature":[29,32,44,59],"and":[30,36,60],"on":[33,45],"one":[34],"side)":[35,48],"extrinsic":[39],"invariant":[40],"squared":[42,62],"pseudomean":[43],"other":[47],"with":[49],"respect":[50],"Tanaka\u2010Webster":[53,87],"connection.":[54,88],"Moreover,":[55],"involving":[56],"pseudo\u2010Ricci":[58],"pseudo\u2010mean":[63],"curvature,":[64],"obtain":[66],"for":[70],"form":[76],"terms":[84]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}